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What is the Least Common Multiple of 3003 and 3019?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 3003 and 3019 is 9066057.

LCM(3003,3019) = 9066057

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Least Common Multiple of 3003 and 3019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3003 and 3019, than apply into the LCM equation.

GCF(3003,3019) = 1
LCM(3003,3019) = ( 3003 × 3019) / 1
LCM(3003,3019) = 9066057 / 1
LCM(3003,3019) = 9066057

Least Common Multiple (LCM) of 3003 and 3019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3003 and 3019. First we will calculate the prime factors of 3003 and 3019.

Prime Factorization of 3003

Prime factors of 3003 are 3, 7, 11, 13. Prime factorization of 3003 in exponential form is:

3003 = 31 × 71 × 111 × 131

Prime Factorization of 3019

Prime factors of 3019 are 3019. Prime factorization of 3019 in exponential form is:

3019 = 30191

Now multiplying the highest exponent prime factors to calculate the LCM of 3003 and 3019.

LCM(3003,3019) = 31 × 71 × 111 × 131 × 30191
LCM(3003,3019) = 9066057